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Finding the Fourth Proportional to 9,144.65, 13,717.83 and 2,570.80

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Solution

The fourth proportional to 9,144.65, 13,717.83 and 2,570.80 is: 3,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.65 : 13,717.83 = 2,570.80 : x
  2. Step 2: Convert to fraction form
    9,144.65/13,717.83 = 2,570.80/x
  3. Step 3: Cross multiply
    9,144.65x = 13,717.83 × 2,570.80
  4. Step 4: Simplify right side
    9,144.65x = 35,265,797.36
  5. Step 5: Solve for x
    x = 35,265,797.36/9,144.65
  6. Step 6: Final answer
    x = 3,856.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.